Journal
NEURAL COMPUTING & APPLICATIONS
Volume 23, Issue 5, Pages 1217-1227Publisher
SPRINGER LONDON LTD
DOI: 10.1007/s00521-012-1034-y
Keywords
Genetic regularity networks (GRNs); Stochastic perturbation; Robust stability; Lyapunov functional; Linear matrix inequality (LMI); Delay fractioning approach
Categories
Funding
- Heilongjiang Education Committee [12521429]
- Heilongjiang University Innovation Team Support Plan [Hdtd2010-03]
- Heilongjiang University Student Academic and Technological Innovation Projects
Ask authors/readers for more resources
This paper is concerned with the problem of the globally asymptotically mean square stability for a class of delayed genetic regularity networks (GRNs) with both parameter uncertainties and stochastic disturbances, where the time delays are belong to given intervals and assumed to be time varying. Based on choosing an appropriate and novel Lyapunov functional, a delay fractioning approach that is different from the existing ones is introduced. By utilizing differential formula and using the linear matrix inequality (LMI) method, we derive a robust asymptotical stability criterion in mean square sense for uncertain GRNs with time-varying delays. All the stability conditions are given in terms of LMIs. One example and its simulation are provided to show the advantages of the obtained result.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available